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| 1 | Feedback image encryption algorithm with compound chaotic stream cipher based on perturbation显示文摘In this paper, two new one-dimensional chaotic functions are designed using Devaney chaotic definition. And a dynamically shifting compound chaotic function is constructed based on the two new one-dimensional chaotic functions. The properties of compound chaotic functions are also proved. A new feedback image encryption algorithm is designed using the new compound chaos and an image pixel permutation, 3D baker scheme is described in detail. In the scheme, a new dynamic block dividing the 3D baker is put forward using the compound chaotic map, and the key space expands. In order to produce avalanche effect and sensitivity of cipher to plaintext, the round times are designed to control the cycle. The entropy analysis, difference analysis, weak-key analysis, statistical analysis, cipher random analysis, and cipher sensibility analysis depending on key and plaintext are introduced to test the security of the new scheme of image encryption. The tests show that the image encryption method passes the random tests of NIST FIPS 140-2(2001) and SP 800-22 standards. This paper also solves the problem of short periods and low precision of one-dimensional chaotic function by perturbation. | TONG XiaoJun CUI MingGen | 2010 | Science China(Information Sciences)2010，53，1： | 7 |
| 2 | ImmunoCytTM and cytology for diagnosis of bladder carcinoma:a meta analysis显示文摘 | Yang Minggen Zheng Zhouda Zhuang Zhiming Zhao Xiaokun Xu Zhenqiang Lin Haili | 2014 | Chinese Medical Journal2014，，4： | 3 |
| 3 | A new method to solve the damped nonlinear Klein-Gordon equation显示文摘This paper discusses a damped nonlinear Klein-Gordon equation in the reproducing kernel space and provides a new method for solving the damped nonlinear Klein-Gordon equation based on the reproducing kernel space.Two numerical examples are given for illustrating the feasibility and accuracy of the method. | LIN YingZhen CUI MingGen | 2008 | Science China Mathematics2008，51，2： | 3 |
| 4 | Solving singular nonlinear secondorder periodic boundary value problems in the reproducing keruel space显示文摘 | Fazhan Geng Minggen Cui | 2007 | Applied Mathematics and Computation2007，192，2： | 1 |
| 5 | A new algorithm for a class of singular boundary value problems显示文摘 | Huanmin Yao Minggen Cui | 2007 | Applied Mathematics and Computation2007，186，2： | 1 |
| 6 | Representation of the exact solution and a stability analysis on the Fredholm integral equation of the first kind in reproducing kernel space显示文摘 | Hong Du Minggen Cui | 2006 | Applied Mathematics and Computation2006，182，2： | 1 |
| 7 | New algorithm for a class of nonlinear integro-differential equations in the reproducing kernel space 显示文摘 | Lihong Yang Minggen Cui | 2006 | Applied Mathematics and Computation2006，174，2： | 1 |
| 8 | A numerical solution of or- dinary differential equation of second order nonlinear initial problem显示文摘 | DU Hong CUI Minggen | 2008 | Applied Mathematics Letters2008，21，6： | 1 |
| 9 | Nonlinear numerical analysis in the reproducing kernel space显示文摘 | Minggen C Yingzhen L | 2009 | 2009，，： | 1 |
| 10 | Repre- sentation of the exact solution for a kind of nonlinear partial differential equations显示文摘 | LIN Yingzhen CUI Minggen YANG Lihong | 2006 | Applied Mathematics Letters2006，19，： | 1 |
| 11 | A new uniformly convergent iterative method by interpoation where error decreases monotonically显示文摘 | CUI Minggen DENG Zhongxing | 1985 | J Comput Math1985，3，： | 1 |
| 12 | On the best operator of Interpolation显示文摘 | DENG Zhongxing | 1986 | Math Nuberica Sinica1986，8，2： | 1 |
| 13 | Solving nonlinear multi-point boundary value problems by combining homotopy perturbation and variational iteration meth- ods显示文摘 | GENG Fazhan CUI Minggen | 2009 | International Journal of Nonlinear Sciences and Numerical Simulation2009，10，5： | 1 |
| 14 | How to solve nonlinear operator equation A(ν2)+Cν=f显示文摘 | CHEN Zhong | 2004 | Appl Math Compu2004，153，2： | 1 |
| 15 | A reproducing kernel method for solving nonlocal fractional boundary value problem显示文摘 | GENG Fazhan CUI Minggen | 2012 | Applied Mathematics Letters2012，25，5： | 1 |
| 16 | Rational filter wavelets显示文摘 | Kuang Zheng Cui Minggen | 1999 | Journal of Mathematical Analysis and Applications1999，239，2： | 1 |
| 17 | Image encryption with compound chaotic sequence cipher shifting dynamically显示文摘 | Tong Xiaojun Cui Minggen | 2008 | Image and Vision Computing2008，26，6： | 1 |
| 18 | Rational Filter Wavelets显示文摘 | Kuang Zheng Cui Minggen | 1999 | Journal of Mathematical Analysis and Applications1999，239，2： | 1 |
| 19 | How to solve nonlinear operator equation A(v2) + Cv =f显示文摘 | CUI MINGGEN CHEN ZHONG | 2004 | Applied Mathematics and Computation2004，153，2： | 1 |
| 20 | New Algorithm for A Class of Nonlinear IntegTo-differential Equations in The Reproducing Kernel Space显示文摘 | Yang Lihong Minggen Cur | 2006 | Applied Mathematics and Computation2006，174，： | 1 |
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